Finding the Fourth Proportional to 119.06, 164.42 and 111.72

Step by Step Solution

1. Step 1: Write the proportion equation
   119.06 : 164.42 = 111.72 : x
2. Step 2: Convert to fraction form
   119.06/164.42 = 111.72/x
3. Step 3: Cross multiply
   119.06x = 164.42 × 111.72
4. Step 4: Simplify right side
   119.06x = 18,369.28
5. Step 5: Solve for x
   x = 18,369.28/119.06
6. Step 6: Final answer
   x = 154.29